The uniqueness theorem for inverse nodal problems with a chemical potential

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan

Abstract

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.